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49200120 = 23325197193
BaseRepresentation
bin1011101110101…
…1101111111000
310102120121212200
42323223233320
5100043400440
64514310200
71135123404
oct273535770
9112517780
1049200120
1125854862
1214588360
13a2682c8
14676a104
1544bcc30
hex2eebbf8

49200120 has 96 divisors (see below), whose sum is σ = 168339600. Its totient is φ = 12427776.

The previous prime is 49200103. The next prime is 49200143. The reversal of 49200120 is 2100294.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 49200093 and 49200102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3244 + ... + 10436.

Almost surely, 249200120 is an apocalyptic number.

49200120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84169800).

49200120 is an abundant number, since it is smaller than the sum of its proper divisors (119139480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49200120 is a wasteful number, since it uses less digits than its factorization.

49200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7229 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 49200120 is about 7014.2797206841. The cubic root of 49200120 is about 366.4280577981.

The spelling of 49200120 in words is "forty-nine million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 7193 14386 21579 28772 35965 43158 57544 64737 71930 86316 107895 129474 136667 143860 172632 215790 258948 273334 287720 323685 410001 431580 517896 546668 647370 683335 820002 863160 1093336 1230003 1294740 1366670 1640004 2050005 2460006 2589480 2733340 3280008 4100010 4920012 5466680 6150015 8200020 9840024 12300030 16400040 24600060 49200120